Michal Horodecki, Pawel Horodecki, Ryszard Horodecki
Published 1996-05-28, updated 1996-06-26Version 2
We provide necessary and sufficient conditions for separability of mixed states. As a result we obtain a simple criterion of separability for $2\times2$ and $2\times3$ systems. Here, the positivity of the partial transposition of a state is necessary and sufficient for its separability. However, it is not the case in general. Some examples of mixtures which demonstrate the utility of the criterion are considered.
Comments: Revtex, 13 pages, replaced with minor typos corrected and some examples added
Reversible transformations from pure to mixed states, and the unique measure of information
Optimal Broadcasting of Mixed States
Local discrimination of mixed states
